Answer:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties
Where
and
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

585 hotdogs in 45 minutes.
You can simply do 13 X 45
Because 13 is the amount of hotdogs a minute and 45 is the total time.
13 X 45 = 585
Hope this helped you
Step-by-step explanation:
8x + 11=2(4x-7) + 25
8x + 11 = 8x - 14 + 25
8x + 11=8x- 14 + 14 +25 + 11
8x-8x + 11 -11 = 14 + 25 + 11
8x-8x =14 + 25 + 11
X = 50
Answer:

Step-by-step explanation:
-Greatest common factor is defined as the greatest positive that divides a set of whole numbers evenly and without a remainder.
-Given the set 
we notice, that the GCF can't be an integer with the power of x greater than 2:

Since, there's no other positive integer than can evenly divide the set of quotients, the GCF is 
Answer:
The answer is $19.44
Step-by-step explanation:
First you have to find 25% of $28.80 (which is 7.20). Then, you subtract the $7.20 from your 28.80. You do that because you are getting a 25% discount. Then, you find 10% of $21.60 (your answer for the 25% discount) and you subtract 10% of $21.60. After that, you get your total of $19.44.
I hope you find this helpful.